3a + 5b = 26 ; a + 5b = 22 ​

Answer:

1.5

Step-by-step explanation:

From comparing the difference in the amounts of medicine in 1/4 and 3/4, we can see that 1.5 mg is taken away every 1/4 hours. Why you may ask? This is because the scenario said 3/4, not 2/4. 1.5 + 1.5 is 3.5. So, with that, we can say without any hours, there was originally 8.5 mg. Then we minus that by 1.5 7 times, as 1 and 3/4 = 7/4, and get our answer, 1.5. Hope this helped!

The test statistics is used to determine if the anxiety medication can happen under a null hypothesis

The test statistics that is an appropriate hypothesis test is [tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]

40 milligrams of medication

Patients = 60

Lower stress level patients = 21

The mean of this medication is:

[tex]\bar x = \frac{x}{n}[/tex]

So, we have:

[tex]\bar x_1 = \frac{21}{60}[/tex]

[tex]\bar x_1 = 0.35[/tex]

75 milligrams of medication

Patients = 85

Lower stress level patients = 34

The mean of this medication is:

[tex]\bar x = \frac{x}{n}[/tex]

So, we have:

[tex]\bar x_2 = \frac{34}{85}[/tex]

[tex]\bar x_2 =0.4[/tex]

The test statistic is then calculated as:

[tex]z =\frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\bar x_1(1 - \bar x_1)}{n_1} + \frac{\bar x_2(1 - \bar x_2)}{n_2}}}[/tex]

The equation becomes

[tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]

Hence, the test statistics that is an appropriate hypothesis test is [tex]z =\frac{0.35 - 0.40}{\sqrt{\frac{0.35(1 - 0.35)}{60} + \frac{0.40(1 - 0.40)}{85}}}[/tex]

Read more about test statistic at:

https://brainly.com/question/15980493

The answer is not B.

Answer:

2) X = 14 and y = 19.8

3) X = 25.45

5) X = 5.66

6) X = 7.07

Step-by-step explanation:

2) tan45° = 14/x

x(tan45) = 14

x = 14 / tan45

x = 14

[tex] y = \sqrt{14 ^{2} + 14 ^{2} } [/tex]

y = 19.79

3) cos45 = 18/x

x(cos45) = 18

x = 18/cos45

x = 22.45

5) cos45 = x/8

8(cos45) = x

x = 5.66

6) cos45 = x/10

10(cos45) = x

x = 7.07

Answer:

$31.00

Step-by-step explanation:

Given:

We need to find the LCM of 6 and 10:

Multiples of 6:  6, 12, 18, 24, 30

Multiples of 10: 10, 20, 30

Therefore, the LCM = 30

So the least number of notebooks and pencils the teacher can buy to have the same numbers of each is 30.

⇒ 30 ÷ 6 = 5 packages of notebooks

⇒ 30 ÷ 10 = 3 packages of pencils

5 packages of notebooks = 5 × $5.00 = $25.00

3 packages of pencils = 3 × $2.00 = $6.00

Therefore, the least amount of money the teacher can spend to have the same number of notebooks and pencils (30 each) is:

⇒  $25.00 + $6.00 = $31.00

The least amount of money the teacher can spend to have the same number of notebooks and pencils is $31.00.

To find the least amount of money the teacher can spend and have the same number of notebooks and pencils, we need to determine the least common multiple (LCM) of the quantities in the packages.

Notebooks come in packages of 6, and pencils come in packages of 10. The LCM of 6 and 10 is 30.

To achieve the same number of notebooks and pencils, the teacher could buy:

5 notebook packages (5 * 6 = 30 notebooks)

3 pencil packages (3 * 10 = 30 pencils)

Now, let's calculate the cost:

Cost of notebook packages = 5 * $5.00 = $25.00

Cost of pencil packages = 3 * $2.00 = $6.00

Total cost = $25.00 + $6.00 = $31.00

So, the least amount of money the teacher can spend to have the same number of notebooks and pencils is $31.00.

To know more about least common multiple:

https://brainly.com/question/30060162

#SPJ3

Answer:

the inequality sign changes when dividing by a negative number

Answer:

x < -7

Step-by-step explanation:

-6x > 42

First you want to divide off -6 to isolate x

[tex]\frac{-6x}{-6}[/tex] = [tex]\frac{42}{-6}[/tex]

keeping in mind what you do to one side of the equation you have to do to the other side.

Whenever you divide with a negative number the inequality sign flips from < to > and vice versa.

after you divide off the -6 your left with x < [tex]\frac{42}{-6}[/tex] which equals -7.

Hope this helps.

Answer:

It took him 11 days to complete the trip!

Step-by-step explanation:

12 miles per hour, and six hours each day=72 miles per day.

To find out how many days in total, we need to divide 72 and 792!

792/72=11

How to check? 72*11=792

It took him 11 days to complete the trip!

Step-by-step explanation:

[tex]2 \times \dfrac{1}{2} \: kg \\ \\ = \frac{5}{2} kg \\ \\ = 2.5kg[/tex]kg of biscuit cost $ 15 .

We have been asked to find the cost of 2Kg of biscuits.

First Let's find the cost of 1Kg biscuit

[tex] \tt\implies \: cost \: of \: 1 \: kg \: biscuit \: = \dfrac{15}{2.5} \\ \\ \: \: \tt\implies \: cost \: of \: 1 \: kg \: biscuit \: = 6 \: dollar[/tex]

Then Cost of 2Kg biscuit would be

[tex] \tt\implies \: cost \: of \: 1kg \: biscuit \: = 2 \times 6 \\ \\ \tt\implies \: cost \: of \: 1kg \: biscuit \: = \: 12 \: dollar[/tex]

Hence, the cost of 2 kg biscuit is 12$ .

Answer:

3 4/5

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

0

,

0

)

,

(

−

21

,

0

)

y-intercept(s):

(

0

,

0

)

===========================================================

Explanation:

The problem mentions "see the figure" but the figure above the text does not match the problem itself. I'm assuming the figure is shown below the given text, which unfortunately, is cut off from the screenshot.

The good news is that I think I can recreate what's being described. See the image below.

The things to focus on are the left-most and right-most triangles. We'll use the tangent ratio to help determine x and y. Afterward, compute x+y to get the total distance between the buildings.

First we have,

tan(angle) = opposite/adjacent

tan(32) = 500/x

x*tan(32) = 500

x = 500/tan(32)

x = 800.1673

Using similar steps, you should find that,

y = 500/tan(23)

y = 1177.9262

Therefore,

x+y = 800.1673+1177.9262

x+y = 1978.0935 feet is the approximate distance between Soldier Field and Adler Planetarium.

This is of course assuming that the diagram shown below matches with what your textbook has. Round the answer however you need.

Answer:

The length of the base is 4.4 cm

area of parallelogram: base x height =

1) first you do 17.6=4 x h, which gives you 17.6/4

Answer:

area of parallelogram: base x height = 17.6 cm sq

}4 x h = 17.6

⇒h = 17.6/4

⇒h= 4.4 cm

Step-by-step explanation:

Hope it helps

Answer:

B) division

C) multiplication

Step-by-step explanation:

Ratios give the relation between two quantities.

For example, if two quantities A and B have a ratio of 1:3, it means that:

- for every quantity of A, B has three times more (multiply)

- for every quantity of B, A has three times less. (divide)

Answer:

B

Step-by-step explanation:

Radius = 15/2 = 7.5 cm

Area = π*7.5² = 56.25π cm²
that is B

Answer:

-42

Step-by-step explanation:

by PEMDAS, we have to multiple before we can subtract or add so start by multiplying 5*2*5 (easy to multiply 2*5 which equals 10 and then multiply it by the second 5 so 10*5=50; same thing for 4*2=8). now we can subtract 8 from 50 which we can rewrite as -50+8 if it's easier to think of it that way instead of 8-50 and we get a negative number (another way to think about it is we know the bigger number is negative so we subtract the big number and the small number and then put the negative sign in front like this: -(50-8)= -42)

[tex]39 - 9u = 4u\\39 = 4u + 9u\\39 = u(4 + 9)\\39=13u\\13u = 39\\u =3[/tex]

Hope that helps!

-171.327

Step-by-step explanation:

x + 71.327 = - 109

- 71.327

x = - 171.327

Check:

-171.327 + 71.327 = - 100

Hope this helps!

Answer:

OPTION D

Step-by-step explanation:

You can use long division

3y-2 4 /12y+16

-(12y-8)

24 (remaining)

we can write the expression as 4+24/3y-2

Answer: Your equation will look like this, where “N” is the number and “R” is the intermediate result

N−(N∗30/100)=R

R+(R∗50/100)=525

Simplifying and solving for R, we get:

R+0.5R=525 ← reducing 50/100

1.5R=525 ← combining R terms

R=350 ← dividing both sides by 1.5

Now, we need to solve for N:

N−0.3N=350 ← reducing 30/100

0.7N=350 ← combining N terms

N=500 ← dividing both sides by 0.7

hope this helps you

Answer:

NE = 8 cm

Step-by-step explanation:

Radius OA = OE = 5 cm

In right triangle OAN, OA² + AN² = ON²

5² + 12² = ON²

ON² = 25 + 144 = 169

so ON = 13 cm

NE = ON - OE = 13 - 5 = 8 cm

Using the binomial distribution, it is found that the probabilities are given by:

a) 0.8681 = 86.81%.

b) 0.1319 = 13.19%.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

Item a:

The probability is P(X = 7), hence:

P(X = 7) = 0.98^7 = 0.8681 = 86.81%.

Item b:

The probability is:

P(X < 7) = 1 - P(X = 7) = 1 - 0.8681 = 0.1319 = 13.19%.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

[tex]\tt v=336\:in^3[/tex]

Step-by-step explanation:

[tex]\tt v=(4)(12)(4)+(3)(4)(2)[/tex]

[tex]\tt v=336\:in^3[/tex]

~

Answer:

8 in

Step-by-step explanation:

RA = 4 in, RB = 2 in

oil height in A = hA = 2 in

Find oil height in B = hB

volume of oil in A = VA = π*RA² * hA

equal amount means volume of oil in B VB = VA

But VB = π*RB² * hB

so π*RA² * hA = π*RB² * hB

then

hB = hA *(RA/RB)² = 2 * (4/2)² = 8 in

Answer:

12.8333333333 is the answer